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3 years ago

10

What are the zeros of the polynomial function y=2x^3-7x^2+2x+3?

1 answer:

zlopas [31]3 years ago

7 0

$y = 2 {x}^{3} - 7 {x}^{2} + 2x + 3$

By inspection 1 is a root of y ,
Hence , (x-1) is a factor of y ,

$\dfrac{2 {x}^{3} - 7 {x}^{2} + 2x + 3 }{x - 1} = 2 {x}^{2} - 5x - 3 \\ \\ 2 {x}^{2} - 5x - 3 = (2x + 1)(x - 3)$

Hence , the 2 other roots are -1/2 and 3 , and the above graphs confirms the same.

Hope it helps you :)

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Define powers provide an example of power with an exponent of 2

maria [59]

Answer:

Definition: Exponents, or powers, are a way of indicating that a quantity is to be multiplied by itself some number of times.

Example: $x^{2}$

$2^{2}$

$3^{2}$

$4^{2}$

$5^{2}$

4 0

3 years ago

Read 2 more answers

Hank and Debra each own two milking cows. One day, they milked their cows and compared the amount of milk the cows produced in t

drek231 [11]

Answer:

The answer to your question is 2 7/24

Step-by-step explanation:

Data

Hank's cows = 4 3/4 and 4 1/8

Debra's cows = 5 1/2 and 5 2/3

Process

1.- Convert the mixed functions to improper fractions

Hank's (16 + 3)/4 = 19/4 (32 + 1)/8 = 33/8

Debra's (10 + 1)/2 = 11/2 (15 + 2)/3 = 17/3

2.- Sum up Hank's milk and Debra's milk

Hank's 19/4 + 33/8 = 38/8 + 33/8 = 71/8

Debra's 11/2 + 17/3 = 33/6 + 34/6 = 67/6

3.- Subtract Hank's milk to Debra's milk

67/6 - 71/8 = (268 - 213)/24

= 55/24

-Convert into a mixed fraction

2

24 55

7

55/24 = 2 7/24

4.- Conclusion

Debra milked 2 7/24 more milk than Hank

4 0

3 years ago

Given h(x) = -x + 2, solve for x when h(x) = -3.<br><br> ;-;

Strike441 [17]

-3 = -x + 2
-2 -2
-5 = -x
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5 0

3 years ago

I need an answer asap pls <3

belka [17]

Thank you very much for the points! Helped me a lot!

7 0

3 years ago

Which polynomial could have the following graph?

katrin2010 [14]

ANSWER

y=(x+3)(x-1)(x-5)

EXPLANATION

The given polynomial has x-intercepts at x=-3,x=1,x=5

These are called the zeros of this polynomial.

We can use the factor theorem to obtain the polynomial in factored form.

The polynomial in factored form is of the form

y=a(x+3)(x-1)(x-5)

The polynomial rises on the left and keep rising on the right.

This implies that, the 'a' is positive.

Therefore

y=(x+3)(x-1)(x-5)

The correct choice is the first option.

8 0

4 years ago